Zou Tiefang, He Fenglin
School of Automobile and Mechanical Engineering, Changsha University of Science and Technology, Changsha, China.
Key Laboratory of Safety Design and Reliability Technology for Engineering Vehicle, Changsha University of Science and Technology, Changsha, China.
Forensic Sci Res. 2020 Jan 27;7(2):272-278. doi: 10.1080/20961790.2019.1704474. eCollection 2022.
Considering that almost all existing solutions of fusing different reconstructed results require experts' opinions and the issue of how to fuse probabilistic results and mixed results has not been discussed. Two solutions are proposed. The first is based on the Monte Carlo Method (FMCM), while the second is based on the Sub-Interval Technique (FSIT). The method based on FMCM generates sample points according to the distribution of each uncertain result firstly, and then gives out the cumulative distribution function of the final fused result by statistical analysis. The method based on FSIT gets the result fusion interval set according to lower and upper bounds of all interval results and a given length of each sub-interval firstly, and then calculate the weighted matrix of the result fusion interval. As a result, the cumulative distribution function of the final fused result can also be given out by statistical analysis. Finally, three real accidents are given to demonstrate the methods of FMCM and FSIT, the results of which show that both work well in practice.
考虑到几乎所有现有的融合不同重建结果的解决方案都需要专家意见，并且尚未讨论如何融合概率结果和混合结果的问题。提出了两种解决方案。第一种基于蒙特卡罗方法（FMCM），而第二种基于子区间技术（FSIT）。基于FMCM的方法首先根据每个不确定结果的分布生成样本点，然后通过统计分析给出最终融合结果的累积分布函数。基于FSIT的方法首先根据所有区间结果的上下界和每个子区间的给定长度得到结果融合区间集，然后计算结果融合区间的加权矩阵。结果，最终融合结果的累积分布函数也可以通过统计分析给出。最后，给出了三个实际事故来演示FMCM和FSIT方法，结果表明这两种方法在实际中都表现良好。
